91Ó°ÊÓ

Challenge Problem Use synthetic division to divide $$ x^{4}+(3-h) x^{3}-2 h x^{2}-2 h^{2} x+h^{3} \text { by } x-h $$

Simplify each expression. Assume that all variables are positive when they appear. $$\sqrt{9 x^{5}}$$

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ 28.65319 $$

Factor the perfect squares. $$ x^{2}-10 x+25 $$

Factor the perfect squares. $$ x^{2}+10 x+25 $$

When dividing a polynomial by \(x-c,\) do you prefer to use long division or synthetic division? Does the value of \(c\) make a difference to you in choosing? Give reasons.

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ 99.05249 $$

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ 0.06291 $$

Simplify each expression. Assume that all variables are positive when they appear. $$\sqrt{15 x^{2}} \sqrt{5 x}$$

Approximate each number (a) rounded and (b) truncated to three decimal places. $$ 0.05388 $$